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Question
Given a + b + c + d = 0, state whether the following statement is correct or incorrect:
The magnitude of (a + c) equals the magnitude of (b + d).
Options
Correct
Incorrect
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Solution
This statement is Correct.
Explanation:
a + b + c + d = 0
a + c = – (b + d)
Taking modulus on both the sides, we get:
| a + c | = | –(b + d)| = | b + d |
Hence, the magnitude of (a + c) is the same as the magnitude of (b + d).
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